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Finding the Third Proportional to 7,578 and 17,700.75

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Solution

The third proportional to 7,578 and 17,700.75 is: 41,345.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578 : 17,700.75 = 17,700.75 : x
  2. Step 2: Convert to fraction form
    7,578/17,700.75 = 17,700.75/x
  3. Step 3: Cross multiply
    7,578x = 17,700.75 × 17,700.75
  4. Step 4: Simplify right side
    7,578x = 313,316,550.56
  5. Step 5: Solve for x
    x = 313,316,550.56/7,578
  6. Step 6: Final answer
    x = 41,345.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.